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Finding the Fourth Proportional to 109,992,973.80, 164,989,460.70 and 49,526,797.80

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Solution

The fourth proportional to 109,992,973.80, 164,989,460.70 and 49,526,797.80 is: 74,290,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,992,973.80 : 164,989,460.70 = 49,526,797.80 : x
  2. Step 2: Convert to fraction form
    109,992,973.80/164,989,460.70 = 49,526,797.80/x
  3. Step 3: Cross multiply
    109,992,973.80x = 164,989,460.70 × 49,526,797.80
  4. Step 4: Simplify right side
    109,992,973.80x = 8,171,399,659,219,945
  5. Step 5: Solve for x
    x = 8,171,399,659,219,945/109,992,973.80
  6. Step 6: Final answer
    x = 74,290,196.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.